Computation of Eigenfunctions of Nonlinear Boundary-Value -Transmission Problems by Developing Some Approximate Techniques

dc.contributor.authorYĆ¼cel, Merve
dc.contributor.authorMukhtarov, Oktay Sh.
dc.contributor.authorAydemir, Kadriye
dc.date.accessioned2024-01-26T08:31:39Z
dc.date.available2024-01-26T08:31:39Z
dc.date.issued2023en_US
dc.departmentHitit Ɯniversitesi, Fen Edebiyat FakĆ¼ltesi, Matematik BƶlĆ¼mĆ¼
dc.description.abstractIn this study, we investigate a boundary value problem for nonlinear Sturm-Liouville equations with additional transmission conditions at one interior singular point. Known numerical methods are intended for solving initial and boundary value problems without transmission conditions. By modifying the Adomian decomposition method and the differential transform method, we present a new numerical algorithm to com-pute the eigenvalues and eigenfunctions of the considered boundary-value-transmission problem. Some graphic illustrations of the approximate eigenfunctions are also presented.
dc.description.provenanceSubmitted by Zeynep Umut NARÄ°N (umutarslan@hitit.edu.tr) on 2024-01-26T08:31:22Z No. of bitstreams: 1 merve-yucel2023.pdf: 210100 bytes, checksum: eb912f996f231adcf7ad9c67d0e8514c (MD5)en
dc.description.provenanceApproved for entry into archive by Zeynep Umut NARÄ°N (umutarslan@hitit.edu.tr) on 2024-01-26T08:31:39Z (GMT) No. of bitstreams: 1 merve-yucel2023.pdf: 210100 bytes, checksum: eb912f996f231adcf7ad9c67d0e8514c (MD5)en
dc.description.provenanceMade available in DSpace on 2024-01-26T08:31:39Z (GMT). No. of bitstreams: 1 merve-yucel2023.pdf: 210100 bytes, checksum: eb912f996f231adcf7ad9c67d0e8514c (MD5) Previous issue date: 2023en
dc.identifier.citationYĆ¼cel, M., Mukhtarov, O. S., & Aydemir, K. (2023). Computation of eigenfunctions of nonlinear boundary-value-transmission problems by developing some approximate techniques. Boletim da Sociedade Paranaense de MatemĆ”tica, 41, 1-12.
dc.identifier.doi10.5269/bspm.52863
dc.identifier.issn0037-8712
dc.identifier.issn2175-1188
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.5269/bspm.52863
dc.identifier.urihttps://hdl.handle.net/11491/8748
dc.identifier.wosWOS:000905600800011
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYĆ¼cel, Merve
dc.language.isoen
dc.publisherSOC PARANAENSE MATEMATICA
dc.relation.ispartofBoletim da Sociedade Paranaense de MatemƔtica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Ɩğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectNonlinear Sturm-Liouville equationsen_US
dc.subjectTransmission conditionsen_US
dc.subjectApproximate eigenfunctionen_US
dc.subjectNumerical methodsen_US
dc.titleComputation of Eigenfunctions of Nonlinear Boundary-Value -Transmission Problems by Developing Some Approximate Techniques
dc.typeArticle

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